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@article{Buzzard:2018:10.1515/crelle-2015-0089,
author = {Buzzard, K and Verberkmoes, A},
doi = {10.1515/crelle-2015-0089},
journal = {Journal fur die Reine und Angewandte Mathematik},
pages = {25--39},
title = {Stably uniform affinoids are sheafy},
url = {http://dx.doi.org/10.1515/crelle-2015-0089},
volume = {740},
year = {2018}
}

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TY  - JOUR
AB  - We develop some of the foundations of affinoid pre-adic spaces withoutNoetherian or finiteness hypotheses. We give some explicit examples of non-adicaffinoid pre-adic spaces (including a locally perfectoid one). On the positiveside, we also show that if every affinoid subspace of an affinoid pre-adicspace is uniform, then the structure presheaf is a sheaf; note in particularthat we assume no finiteness hypotheses on our rings here. One can use ourresult to give a new proof that the spectrum of a perfectoid algebra is an adicspace.
AU  - Buzzard,K
AU  - Verberkmoes,A
DO  - 10.1515/crelle-2015-0089
EP  - 39
PY  - 2018///
SN  - 0075-4102
SP  - 25
TI  - Stably uniform affinoids are sheafy
T2  - Journal fur die Reine und Angewandte Mathematik
UR  - http://dx.doi.org/10.1515/crelle-2015-0089
UR  - http://arxiv.org/abs/1404.7020v2
UR  - http://hdl.handle.net/10044/1/26688
VL  - 740
ER  -

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